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SCHOLARPEDIA
2008
79views more  SCHOLARPEDIA 2008»
14 years 10 months ago
Asymptotic cycles
We carry out a multifractal analysis for the asymptotic cycles for compact Riemann surfaces of genus g 2. This describes the set of unit tangent vectors for which the associated o...
Sol Schwartzman
IJBC
2010
84views more  IJBC 2010»
14 years 8 months ago
Asymptotic Values, Prepoles, and Periodic Points
Curves of parameter values for which an asymptotic value of F,(z) = 1 + e-z lies on a pre-pole of arbitrary order are found through an iterative method. Some of these curves are sh...
Jared Whitehead, Lennard Bakker
110
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JCT
2010
158views more  JCT 2010»
14 years 9 months ago
An asymptotic solution to the cycle decomposition problem for complete graphs
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
Darryn E. Bryant, Daniel Horsley
86
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ARSCOM
2004
104views more  ARSCOM 2004»
14 years 10 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 10 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...